Boundary Value Problems

Table 1 Relation between the local and the global system of numbering

From: A solution with cubic boundary elements for the compressible fluid flow around obstacles

Element	Nodes/local numbering	Nodes/global numbering
$L_{1}$	${\bar{x}}_{1}^{1}$ , ${\bar{x}}_{2}^{1}$ , ${\bar{x}}_{3}^{1}$ , ${\bar{x}}_{4}^{1}$	${\bar{x}}_{1}$ , ${\bar{x}}_{2}$ , ${\bar{x}}_{3}$ , ${\bar{x}}_{4}$
$L_{2}$	${\bar{x}}_{1}^{2}$ , ${\bar{x}}_{2}^{2}$ , ${\bar{x}}_{3}^{2}$ , ${\bar{x}}_{4}^{2}$	${\bar{x}}_{4}$ , ${\bar{x}}_{5}$ , ${\bar{x}}_{6}$ , ${\bar{x}}_{7}$
⋯	⋯	⋯
$L_{j}$	${\bar{x}}_{1}^{j}$ , ${\bar{x}}_{2}^{j}$ , ${\bar{x}}_{3}^{j}$ , ${\bar{x}}_{4}^{j}$	${\bar{x}}_{3 j - 2}$ , ${\bar{x}}_{3 j - 1}$ , ${\bar{x}}_{3 j}$ , ${\bar{x}}_{3 j + 1}$
⋯	⋯	⋯
$L_{N}$	${\bar{x}}_{1}^{N}$ , ${\bar{x}}_{2}^{N}$ , ${\bar{x}}_{3}^{N}$ , ${\bar{x}}_{4}^{N}$	${\bar{x}}_{3 N - 2}$ , ${\bar{x}}_{3 N - 1}$ , ${\bar{x}}_{3 N}$ , ${\bar{x}}_{1}$

Back to article page